Your solution would ultimately lead to treating all those items as uniform goods, but they are not. There are preferences different people have. This is why the price system is so useful. It indicates what is desired by various people and gives strong signals as to what to make or not. If you have a central authority making the decisions, they will not get it right. Individual companies may not get it right, but the corrective mechanism of failure (profit loss, bankruptcy) corrects that while when governments provide this, it is extremely difficult to correct it as it is one monolithic block. In the market, you can choose various different companies for different needs. In the government in a democracy, you have to choose all of one politician or all of another. And as power is concentrated, the worst people go after it. It is true with companies, but people can choose differently. With the state, there is no alternative. That is what makes it the state rather than a corporation.
It is also interesting that you did not mention food, clothing and super-computers-in-pockets. While government is involved in everything, they are less involved in those markets than with housing, healthcare, and education, particularly in mandates as to what to do. Government has created the problem of scarcity in housing, healthcare, and education. Do you really think the current leadership of the US should control everyone's housing, healthcare, and education? The idea of a UBI is that it strips the politicians of that fine-grained control. There is still control that can be leveraged, but it comes down to a single item of focus. It could very well be disastrous, but it need not be whereas the more complex system that you give politicians control over, the more likely it will be disastrous.
